A quantum wavelet uncertainty principle
Mathematical Physics
2021-03-09 v1 math.MP
Quantum Physics
Abstract
The aim of this paper is to derive a new uncertainty principle for the generalized -Bessel wavelet transform studied earlier in \cite{Rezguietal}. In this paper, an uncertainty principle associated with wavelet transforms in the -calculus framework has been established. A two-parameters extension of the classical Bessel operator is applied to generate a wavelet function which is exploited next to explore a wavelet uncertainty principle already in the -calculus framework.
Keywords
Cite
@article{arxiv.2103.04078,
title = {A quantum wavelet uncertainty principle},
author = {Sabrine Arfaoui and Maryam G Alshehri and Anouar Ben Mabrouk},
journal= {arXiv preprint arXiv:2103.04078},
year = {2021}
}
Comments
16 pages